Greatest Common Factor of 972/94, 726/37, 232/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/94, 726/37, 232/161

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 972/94,726/37,232/161

Given fractions are 972/94,726/37,232/161

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 972,726,232

Greatest Common Factor of Numerators i.e. GCF of 972,726,232 is 2 .

LCM of Denominators means LCM of 94,37,161 as per the given fractions.

LCM of 94,37,161 is 559958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,726,232

GCF of Fractions 972/94,726/37,232/161 is 2/559958

2 972, 726, 232
486, 363, 116

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 972,726,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,726,232 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 972,726,232 . The biggest common factor number is the GCF number.
So the greatest common factor 972,726,232 is 2.

Lets's calculate LCM of 94,37,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 559958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/559958

Therefore, the GCF of Fractions 972/94,726/37,232/161 is 2/559958

Least Common Multiple of 94,37,161 with GCF Formula

Least Common Multiple of 94,37,161 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 94,37,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,37,161) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(94,37,161) x common factors =1 x 1 = 1

LCM(94,37,161) = ( 94 × 37 × 161 ) / 1

LCM(94,37,161) = 559958 / 1

LCM(94,37,161) = 559958


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 972/94, 726/37, 232/161

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 972/94, 726/37, 232/161?

Answer: GCF of Numerators as per given numbers 972/94, 726/37, 232/161 is

GCF of Numerators i.e. for 972,726,232 is 2

LCM of denominators i.e. for 94,37,161 is 559958.

Thus, GCF of Fractions is 2/559958.Finally, GCF of Fractions for 972/94, 726/37, 232/161 is 2/559958.